| 书目名称 | Elements of Neurogeometry |
| 副标题 | Functional Architect |
| 编辑 | Jean Petitot |
| 视频video | |
| 概述 | Illustrates the fascinating interactions between mathematics and neuroscience.Describes geometrical models of the functional architecture of the visual cortex.Presents a variety of examples.Includes s |
| 丛书名称 | Lecture Notes in Morphogenesis |
| 图书封面 |  |
| 描述 | .This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure.. .As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical explor |
| 出版日期 | Book 2017 |
| 关键词 | Functional architecture; Association field; Helmholtz equation; Contact structure; Fibre bundle; Gaussian |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-65591-8 |
| isbn_softcover | 978-3-319-88063-1 |
| isbn_ebook | 978-3-319-65591-8Series ISSN 2195-1934 Series E-ISSN 2195-1942 |
| issn_series | 2195-1934 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 19:13:10
